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Singular Integral Inequalities and Stability of Semilinear Parabolic Equations

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*
Milan Medved
*

** Address.**
Department of Mathematical Analysis,
Faculty of Mathematics and Physics,
Comenius University, Mlynska dolina, 842 15 Bratislava, Slovakia

** E-mail:**
medved@center.fmph.uniba.sk

**Abstract.**
Using a method developed by the author for an analysis of singular
integral inequalities a stability theorem for semilinear parabolic PDEs is
proved.

**AMS classification.**
34D05, 35B35, 35K55

**Key words.**
Integral inequality, parabolic equation, stability